anonymous
  • anonymous
Find the area of an equilateral triangle with side of length 18. (Round your answer to one decimal place.)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Area= 1/2 base x height tan(60)=h/18 h=18tan(60) right?
anonymous
  • anonymous
should i be using law of sines
lgbasallote
  • lgbasallote
why use law of sines?

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lgbasallote
  • lgbasallote
wait...by law of sines do you mean \[\frac{a}{\sin A} = \frac b{\sin B} = \frac c{\sin C}\]
anonymous
  • anonymous
yes, i have three angles (60) and three sides) so the how would i then find the height
lgbasallote
  • lgbasallote
use pythagorean theorem...you have equilateral triangle |dw:1352707222314:dw|
lgbasallote
  • lgbasallote
so the height would cut your triangle into two equal parts..|dw:1352707262694:dw| can you see how to get the height now?
anonymous
  • anonymous
15.6?
lgbasallote
  • lgbasallote
yes
lgbasallote
  • lgbasallote
now use your 1/2 bh
anonymous
  • anonymous
A=(1/2)(18)15.6)
lgbasallote
  • lgbasallote
yes
lgbasallote
  • lgbasallote
by the way.. you can also use your solution a while ago... 18tan (60) you don't need law of sines...just use a calculator for that
anonymous
  • anonymous
140.4units squared
lgbasallote
  • lgbasallote
yes
anonymous
  • anonymous
and that solution from earlier would then give me the height?
lgbasallote
  • lgbasallote
hmm wait...something's wrong with it...let me find it first
anonymous
  • anonymous
should it be 9 instead of 18
lgbasallote
  • lgbasallote
yes it should be 9

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